3,094 questions
What is the value of a? (1) The area of an equilateral triangle of side length 3a units is 9√3 square units (2) The area of an isosceles triangle whose sides are of length 4a, 4a and a units...
In ΔABC, point D lies on the side AB between vertices A and B. If CD = CB, is AD > BC? (1) ∠ADC = 110 (2) ∠ACD = 30
In ?ABC, is AC2 = AB2 + BC2? - ∠BAC + ∠ACB = ∠ABC - AB = BC
Triangles AED and BEC are formed using the straight lines AB and CD as shown in the figure above. If BE = BC, DE2 > AD2 + AE2 and the measure of ∠AED is x, which of the following statements must...
The figure above shows a triangle ABC in which the measure of ∠ABC, b∘is greater than 90∘ If AB = 3 units and BC = 4 units, which of the following can be the measure of side AC? - 6 - 7 - 8
The figure above shows the position, at two instants of time, of a 10-meter-long rod as it was falling down to the ground. If one end of the rod was pinned to the ground, by what vertical distance...
Triangle ABC is an isosceles triangle with AB = AC and AD is the perpendicular dropped from vertex A on the side BC. What is the perimeter of triangle ABC? (1) ∠BAD = 2∠ACD (2) The perimeter of...
The figure above shows two right triangles ΔPSR and ΔPRQ that share a common side PR, which measures 5 units. If QR = 4PS, what is the area of the quadrilateral PQRS? (1) The area of ΔPSR is 6...
Triangle ABC is inscribed in a rectangle ABEF forming two right triangles: AFC and BEC. Is triangle ABC an equilateral triangle?
In the figure above, triangle ABC is an isosceles triangle with AB = BC and BD is the perpendicular dropped from vertex B to the side AC. Point E is marked on BD such that ∠DAE = 450 and...
